In order to improve the position tracking accuracy and robustness of permanent magnet linear synchronous motor (PMLSM) servo system, a fractional order dynamic super-twisting terminal sliding mode control method is proposed in this paper. Firstly, the system dynamics model with parameter uncertainty is established. Then, a dynamic sliding mode manifold is proposed by combining the fractional order definition with the terminal sliding mode theory and using the exponential function with the tracking error as the independent variable as the control gain of the fractional order term. Meanwhile, considering the complexity of the system uncertainties, a dynamic super-twisting algorithm is designed based on the Lyapunov theory, which realizes the global dynamic adjustment and accurately compensates the uncertain disturbances. Finally, experimental results show that the control system with the designed controller has higher tracking accuracy and more robust performance compared to the latest controller.In order to improve the position tracking accuracy and robustness of permanent magnet linear synchronous motor (PMLSM) servo system, a fractional order dynamic super-twisting terminal sliding mode control method is proposed in this paper. Firstly, the system dynamics model with parameter uncertainty is established. Then, a dynamic sliding mode manifold is proposed by combining the fractional order definition with the terminal sliding mode theory and using the exponential function with the tracking error as the independent variable as the control gain of the fractional order term. Meanwhile, considering the complexity of the system uncertainties, a dynamic super-twisting algorithm is designed based on the Lyapunov theory, which realizes the global dynamic adjustment and accurately compensates the uncertain disturbances. Finally, experimental results show that the control system with the designed controller has higher tracking accuracy and more robust performance compared to the latest controller.

pmlsm,robustness,Fractional order dynamic super-twisting terminal Sliding Mode